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On the basis of the Laws of Chess, which was adopted at the 75th FIDE Congress at Calvia (Mallorca), October

2004, coming into force on 1 July 2005.

POLYGON
Kosintsev I.G. (19.11.2008)

PREFACE Polygon is a board abstract strategy for 2 players as result of an inevitable evolution of the dead classical chess to more perfect and complex game. The size of the board was increased up to 12x12 squares and a set of pieces - up to 12 types similar to card games. It’s clear that more pieces mean more combinatory abilities. Same process went to the creation of Canadian checker. In agree with principals of honor and justice are removed the notion of check, checkmate, stalemate, drawn. This is very important for beginner and stimulates an attention of player.

BASIC RULES OF PLAY Article 1: The nature and objectives of the game of Polygon 1.1. The game of Polygon is played between two opponents who move their pieces alternately on a square board called a `Polygon`. The player with the red pieces commences the game. A player is said to `have the move`, when move of his opponent has been ’made’. 1.2. The objective of each player is to capture the king of his opponent. The player who achieves this goal has won the game. The opponent whose king has been captured has lost the game. Article 2: The initial position of the pieces on the Polygon 2.1. The board is composed of an 12x12 grid of 144 equal squares alternately light and dark. The board is placed between the players in such a way that the near corner square to the right of the player is light.

r l n m d t g k b

p v f F V P B K G T D M N L R

2.2. At the beginning of the game one player has 24 red-colored pieces (the `red` pieces); the other has 24 black-colored pieces (the `black` pieces): These pieces of two colors (red and black) are as follows: 1. A soldier (12 red and 12 black pieces), indicated by the symbol 1. 2. A corporal (4 red and 4 black pieces), indicated by the symbol 2. 3. A specialist (4 red and 4 black pieces), indicated by the symbol 3. 4. A sergeant (2 red and 2 black pieces), indicated by the symbol 4. 5. An adjutant (2 red and 2 black pieces), indicated by the symbol 5. 6. A lieutenant (2 red and 2 black pieces), indicated by the symbol 6. 7. A captain, indicated by the symbol 7. 8. A major, indicated by the symbol 8. 9. A colonel, indicated by the symbol 9. 10. A general, indicated by the symbol 10.

11. A marshal, indicated by the symbol 11. 12. A king, indicated by the symbol 12. Symbols 1,2,3,4,5,6,7,8,9,10,11,12 can be any different pictures (pictograms): with out a sign – red color, with the sign “-” – black color. 2.3 The initial position of the pieces on the chessboard is as follows:

r l n m d t g k b

-9 -3 -1

-8 -3 -1

-7 -2 -1

-6 -2 -1

-10 -11 -12 -10 -4 -1 -5 -1 -5 -1 -4 -1

-6 -2 -1

-7 -2 -1

-8 -3 -1

-9 -3 -1

p v f

1 3 9 F

1 3 8 V

1 2 7 P

1 2 6 B

1 4 10 K

1 5 12 G

1 5 11 T

1 4 10 D

1 2 6 M

1 2 7 N

1 3 8 L

1 3 9 R

2.4. The twelve vertical columns of squares (F,V,P,B,K,L,M,N,L,R) are called `files`. The twelve horizontal rows of squares (f,v,p,b,k,g,,t,d,m,n,,l,r)are called ranks`. A straight line of squares of the same color, touching corner to corner, is called a `diagonal`.

Article 3: The moves of the pieces 3.1. It is not permitted to move a piece to a square occupied by a piece of the same color. If a piece moves to a square occupied by a piece of the opponent the latter is captured and removed from the chessboard as part of the same move. A piece is said to attack a piece of the opponent if the piece could make a capture on that square according to Articles 3.2 to 3.12. The king is said to be `in check` if it is attacked by one or more of the pieces of the opponent. 3.2. There are two different ways of moving the soldier: a) The soldier may move to any adjoining square (X). b) The soldier may move to the unoccupied second square (*) along the file or the rank on which it stands (“March”).

* X * X X X O X * X X X *

When a soldier reaches the rank furthest from its starting position it must be exchanged as part of the same move for a new general of the same color. This exchange of a soldier for general is called `promotion` and the effect of the new piece is immediate.

3.3. The specialist may move to first, second and third square (X) along a diagonal on which it stands.

X X X O X X X X X X X

X

X

3.4. The corporal may move to first, second and third square (X) along the file or the rank on which it stands.

X X X X X X O X X X X X X

3.5. The sergeant may move to one of the twenty four squares (X) nearest to that on which it stands, not far then two square along the file or the rank.

X X X X X

X X X X X

X X O X X

X X X X X

X X X X X

3.6. The adjutant may move to first, second and third square (X) along the file, the rank or a diagonal on which it stands.

3.11. There are two different ways of moving the king, by: a) The king may move to any adjoining square (X).

X X X

X O X

X X X

b) The king may move to the unoccupied second square (*) along the file or the rank on which it stands only over one intervening piece (S) of the same color on the first square (“Jumping”).

* S * S O S * S *

Article 4: The completion of the game 4.1. The game is won by the player who has captured the king of the opponent. This immediately ends the game. 4.2. The game is won by the player whose opponent declares he resigns. This immediately ends the game. 4.3. The game is won by the player with the black pieces when on game board only two pieces (kings) remain and neither player can capture the king of the opponent with next move. The game is said to end in a `primitive position`. This immediately ends the game. 4.4. The game is won by the player with the black pieces if any identical position has appeared on the game board at least three times. 4.5. The game is won by the player with the black pieces if each player has made at least the last 30 consecutive moves without any capture.

Article 5: Coordinate Polygon notation
Algebraic notation is the most widely used method for recording the moves of a board game. One of its variants, "long algebraic notation", is the official standard which must be used in all recognized international competition involving human players. Every move N is signed by two formulas for two players with the red and black pieces: Piece (number) - get piece square (file, rank) – put piece square (file, rank). Here is an example of the simple game in that notation: 1. 1 TpTk -1 TnTd 2. 5 TvNk -5 TlNd 3. 1 TkTt -1 TdTt 4. 11 TfTr 1-0

The final position:

r l n m d t g k b

-9 -3 -1

-8 -3 -1

-7 -2 -1

-6 -2 -1

-10 -11 -4 -1 -5 -1

11

-10 -4 -1

-6 -2 -1

-7 -2 -1

-8 -3 -1

-9 -3 -1

-5 -1

5

p v f

1 3 9 F

1 3 8 V

1 2 7 P

1 2 6 B

1 4 10 K

1 5 12 G T

1 4 10 D

1 2 6 M

1 2 7 N

1 3 8 L

1 3 9 R

Coordinate notation is similar to algebraic notation except that no abbreviation or symbol is used to show which piece is moving. It can do this without ambiguity because it always includes the square from which the piece moves as well as its destination. It has proved hard for humans to write and read, but is used internally by some chess-related computer software Positions are usually signed, using the list of formulas for every piece, and shown as diagrams (images).

Article 6: The Polygon qualification system
Polygon Association (PA) is an international organization that connects all Polygon players around the world and acts as the governing body of international chess competition. The unique personal number of player define own qualification (strength) of player which depend directly from results of official (rating) games. The less number mean the greater strength. Champion has the number one. A more subtle issue is related to pairing. 1. Challenger always plays by red pieces, acceptor by black.

2. Any player can challenge another player only one class higher or same class. 3. If and only if the player with low number loses a game, players exchange own personal numbers. 4. If a player don’t play N weeks (repose) own number are increased on 2 power N-1 every week with adequate reduces numbers other players. 5. One player has not the right to play more then twelve official (rating) games with one opponent successive. All players are divided on fourteen classes as can you see at next table. The number of players at one class K is basis B in power K, where B can be 2,3,4,5 and so on. B is 4 for our case and can increase with growing number of registered players. Nobody can be a member of two classes at once. Class of player Champion 1 2 3 4 5 6 7 8 9 10 11 12 Beginner Title God King Marshal General Colonel Major Captain Lieutenant Adjutant Sergeant Specialist Corporal Soldier Numbers of players 1 2-5 6-21 22-85 86-341 342-1365 1366-5461 5462-21845 21846-87381 87382-349525 349526-1398101 1398102-5592405 5592406-22369621 22369622 and so on Quantity of players 1 4 16 64 256 1024 4096 16384 65536 262144 1048576 4194304 16777216 other

This game is recommended for study at school as part of mathematics. That will increase inevitably the intellectual level of a society. External links: 1. FIDE Laws of Chess. http://www.fide.com/component/handbook/?id=124&view=article 2. FIDE. http://en.wikipedia.org/wiki/FIDE 3. Elo rating system. http://en.wikipedia.org/wiki/Elo_rating_system